Mathematics · Grade 9 CAPS

Algebraic Expressions

Algebraic Expressions is one of 8 topics in the Grade 9 Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.

Sample practice questions

Easy

1. Expand $3 x (2 x + 5)$ .

Answer: 6x^2 + 15x — Distribute 3x into each term: 3x x 2x = 6x^2, 3x x 5 = 15x.

Easy

2. Which pair of terms are like terms?

3x^2 and 7x^2
3x^2 and 3x
5x and 5y
2x and 2x^3

Answer: 3x^2 and 7x^2 — Like terms must have the exact same variable raised to the exact same power. Both terms here are x^2 terms.

Medium

3. Expand $(x + 2) (x + 3)$ .

Answer: x^2 + 5x + 6 — Using FOIL: x.x + x.3 + 2.x + 2.3 = x^2+3x+2x+6 = x^2+5x+6.

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